@article{ZobelReininghausHotz2011, author = {Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid}, title = {Generalized Heat Kernel Signature}, series = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, journal = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, pages = {93 -- 100target}, year = {2011}, language = {en} } @article{ReininghausLoewenHotz2011, author = {Reininghaus, Jan and L{\"o}wen, Christian and Hotz, Ingrid}, title = {Fast Combinatorial Vector Field Topology}, series = {IEEE Trans. Computer Graphics and Visualization}, volume = {17}, journal = {IEEE Trans. Computer Graphics and Visualization}, number = {10}, pages = {1433 -- 1443}, year = {2011}, language = {en} } @article{ReininghausKotavaGuentheretal.2011, author = {Reininghaus, Jan and Kotava, N. and G{\"u}nther, David and Kasten, Jens and Hagen, Hans and Hotz, Ingrid}, title = {A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields}, series = {Visualization and Computer Graphics, IEEE Transactions on}, volume = {17}, journal = {Visualization and Computer Graphics, IEEE Transactions on}, number = {12}, doi = {10.1109/TVCG.2011.159}, pages = {2045 -- 2052}, year = {2011}, language = {en} } @article{ReininghausKastenWeinkaufetal.2012, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Efficient Computation of Combinatorial Feature Flow Fields}, series = {Transactions on Visualization and Computer Graphics}, volume = {18}, journal = {Transactions on Visualization and Computer Graphics}, number = {9}, doi = {10.1109/TVCG.2011.269}, pages = {1563 -- 1573}, year = {2012}, language = {en} } @article{KastenReininghausHotzetal.2016, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, series = {Archives of Mechanics}, volume = {68}, journal = {Archives of Mechanics}, number = {1}, pages = {55 -- 80}, year = {2016}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @article{KastenReininghausHotzetal.2011, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian}, title = {Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude}, series = {IEEE Transactions on Visualization and Computer Graphics}, volume = {17}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {12}, pages = {2080 -- 2087target}, year = {2011}, language = {en} } @article{GuentherReininghausWagneretal.2011, author = {G{\"u}nther, David and Reininghaus, Jan and Wagner, Hubert and Hotz, Ingrid}, title = {Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory}, series = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, journal = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, publisher = {Kluwer Academic Publishers}, year = {2011}, language = {en} } @article{GuentherReininghausWagneretal.2012, author = {G{\"u}nther, David and Reininghaus, Jan and Wagner, Hubert and Hotz, Ingrid}, title = {Efficient Computation of 3D Morse-Smale Complexes and Persistent Homology using Discrete Morse Theory}, series = {The Visual Computer}, volume = {28}, journal = {The Visual Computer}, number = {10}, doi = {10.1007/s00371-012-0726-8}, pages = {959 -- 969}, year = {2012}, language = {en} }